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This review is based on the lectures given by the author at the Les HouchesSummer School 2016. It describes the recently developed Quantum Spectral Curve(QSC) for a non-perturbative planar spectrum of N=4 Super Yang-Mills theory ina pedagogical way starting from the harmonic oscillator and avoiding a longhistorical path. We give many examples and provide exercises. At the end wegive a list of the recent and possible future applications of the QSC.

Introduction to the Spectrum of N=4 SYM and the Quantum Spectral Curve